Search a number
-
+
385786801 is a prime number
BaseRepresentation
bin10110111111101…
…010001110110001
3222212221000000001
4112333222032301
51242230134201
6102140430001
712363063601
oct2677521661
9885830001
10385786801
11188848374
12a9248301
1361c0611a
1439344c01
1523d07301
hex16fea3b1

385786801 has 2 divisors, whose sum is σ = 385786802. Its totient is φ = 385786800.

The previous prime is 385786799. The next prime is 385786829. The reversal of 385786801 is 108687583.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 384199201 + 1587600 = 19601^2 + 1260^2 .

It is a cyclic number.

It is not a de Polignac number, because 385786801 - 21 = 385786799 is a prime.

Together with 385786799, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (385786001) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 192893400 + 192893401.

It is an arithmetic number, because the mean of its divisors is an integer number (192893401).

Almost surely, 2385786801 is an apocalyptic number.

It is an amenable number.

385786801 is a deficient number, since it is larger than the sum of its proper divisors (1).

385786801 is an equidigital number, since it uses as much as digits as its factorization.

385786801 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 322560, while the sum is 46.

The square root of 385786801 is about 19641.4561832874. The cubic root of 385786801 is about 727.9738655685.

The spelling of 385786801 in words is "three hundred eighty-five million, seven hundred eighty-six thousand, eight hundred one".